For a room that size, with your requirement for detail, were it me on that budget, I’d stick with the smaller stand mounted monitors to start, see if enough bass and if not add a sub or subs later.
I would avoid floor standers if room is upper level suspended plywood floors in that isolating floor standers from floor interactions that muddy the bass and obscure detail in midrange can be a challenge.
A sub or two integrated well would fill in the lowest octave if needed. Auralex subdude platforms are affordable and I would recommend using those with any subs or floor standers if possible in rooms with suspended plywood floors. If floors is foundation level concrete ie very rigid..... likely not needed.
I have ls50s in a decent size family room that is open to kitchen and other rooms on the floor and little ls50s do surprisingly well with the bass there off 60 w/ch Bel Canto c5i integrated, not too far off from Uniti Atom in power.
See my system pics. Good luck and cheers!